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If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?

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Question: If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?

Options:

  1. 3
  2. 4
  3. 12
  4. 0

Correct Answer: 3

Solution: 

To find the y-intercept, set x = 0. The equation becomes -4y = 12, thus y = -3. The y-intercept is (0, -3).

If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?

Practice Questions

Q1
If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
  1. 3
  2. 4
  3. 12
  4. 0

Questions & Step-by-Step Solutions

If a line has the equation 3x - 4y = 12, what is the y-intercept of the line?
  • Step 1: Start with the equation of the line: 3x - 4y = 12.
  • Step 2: To find the y-intercept, set x = 0 in the equation.
  • Step 3: Substitute x = 0 into the equation: 3(0) - 4y = 12.
  • Step 4: This simplifies to -4y = 12.
  • Step 5: To solve for y, divide both sides by -4: y = 12 / -4.
  • Step 6: This gives y = -3.
  • Step 7: The y-intercept is the point where the line crosses the y-axis, which is (0, -3).
  • Finding the y-intercept – To find the y-intercept of a line, set x to 0 in the line's equation and solve for y.
  • Understanding linear equations – Recognizing the standard form of a linear equation and how to manipulate it to find specific values.
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